相关于遗传挠理论的Schanuel’s引理

Schanuel's Lemma of Relatively Hereditary Torsion Theory

本文利用τ-弱投射模证明了相对于遗传挠理论的Schanuel’s引理成立;同时利用τ-内射模证明了Schanuel’s引理的对偶定理相对于遗传挠理论亦成立.

Let τ be a torsion theory on R-mod. In the paper, we prove Schanuel＇ s lemma of relatively herediary torsion theory by τ-weak projective module and prove the dual of Schanuel＇s lemma by τ-injective module.